What is the Least Common Multiple of 65439 and 65443?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 65439 and 65443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65439 and 65443, than apply into the LCM equation.

GCF(65439,65443) = 1
LCM(65439,65443) = ( 65439 × 65443) / 1
LCM(65439,65443) = 4282524477 / 1
LCM(65439,65443) = 4282524477

Least Common Multiple (LCM) of 65439 and 65443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65439 and 65443. First we will calculate the prime factors of 65439 and 65443.

Prime Factorization of 65439

Prime Factorization of 65443

Now multiplying the highest exponent prime factors to calculate the LCM of 65439 and 65443.

LCM(65439,65443) = 3² × 11¹ × 661¹ × 7¹ × 9349¹
LCM(65439,65443) = 4282524477